Definition:Logical NOR/Truth Function

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Definition

The NOR connective defines the truth function $f^\downarrow$ as follows:

\(\ds \map {f^\downarrow} {\F, \F}\) \(=\) \(\ds \T\)
\(\ds \map {f^\downarrow} {\F, \T}\) \(=\) \(\ds \F\)
\(\ds \map {f^\downarrow} {\T, \F}\) \(=\) \(\ds \F\)
\(\ds \map {f^\downarrow} {\T, \T}\) \(=\) \(\ds \F\)